\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} + -1 \cdot k_{2} \cdot x_{1} \cdot x_{6} \cdot \frac{1}{1000} + -2 \cdot k_{3} \cdot x_{1} \cdot \left(x_{1} - 1\right) \cdot \frac{1}{2} + 2 \cdot k_{4} \cdot x_{2} + -1 \cdot k_{7} \cdot x_{1} \cdot x_{3}^{2} / \left(k_{8}^{2} + x_{3}^{2}\right) + 1 \cdot k_{5} \cdot x_{3}\right) / k_{10}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{3} \cdot x_{1} \cdot \left(x_{1} - 1\right) \cdot \frac{1}{2} + -1 \cdot k_{4} \cdot x_{2} + -2 \cdot k_{6} \cdot x_{2} \cdot \left(x_{2} - 1\right) \cdot \frac{1}{2}\right) / k_{10}\\
\frac{dx_{3}}{dt} = \left(4 \cdot k_{6} \cdot x_{2} \cdot \left(x_{2} - 1\right) \cdot \frac{1}{2} + 1 \cdot k_{7} \cdot x_{1} \cdot x_{3}^{2} / \left(k_{8}^{2} + x_{3}^{2}\right) + -1 \cdot k_{5} \cdot x_{3}\right) / k_{10}\\
\frac{dx_{4}}{dt} = 0\\
\frac{dx_{5}}{dt} = 0\\
\frac{dx_{6}}{dt} = -1 \cdot k_{9} \cdot x_{6} / k_{10}